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Finding the Fourth Proportional to 136,665.64, 205,028.16 and 41,896.18

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Solution

The fourth proportional to 136,665.64, 205,028.16 and 41,896.18 is: 62,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,665.64 : 205,028.16 = 41,896.18 : x
  2. Step 2: Convert to fraction form
    136,665.64/205,028.16 = 41,896.18/x
  3. Step 3: Cross multiply
    136,665.64x = 205,028.16 × 41,896.18
  4. Step 4: Simplify right side
    136,665.64x = 8,589,896,696.43
  5. Step 5: Solve for x
    x = 8,589,896,696.43/136,665.64
  6. Step 6: Final answer
    x = 62,853.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.